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Beliebt Geometry >

18x^2-9y^2-96x-36y-36=0

Lösung

18 x^{2} - 9 y^{2} - 96 x - 36 y - 36 = 0

Lösung

(h, k) = (\frac{8}{3}, - 2), a = \frac{8}{3}, b = \frac{8 2}{3}

Schritte zur Lösung

18 x^{2} - 9 y^{2} - 96 x - 36 y - 36 = 0

Rewrite

18 x^{2} - 9 y^{2} - 96 x - 36 y - 36 = 0

in the form of a standard hyperbola equation

\frac{( x - \frac{8}{3} ) ^{2}}{( \frac{8}{3} ) ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{( \frac{8 2}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{8}{3}, - 2), a = \frac{8}{3}, b = \frac{8 2}{3}

Graph

Beliebte Beispiele

(x^2)/(14)-(y^2)/(20)=1

\frac{x ^{2}}{14} - \frac{y ^{2}}{20} = 1

y^{2} - 2 x^{2} - 16 = 0

x^2=2800^2+y^2-2(2800)(y)cos(20)

x^{2} = 280 0^{2} + y^{2} - 2 (2800) (y) cos (2 0^{\circ})

x^2-(y-3960)^2=3960^2

x^{2} - (y - 3960)^{2} = 396 0^{2}

10x^2-64y^2-140x+768y-2304=0

10 x^{2} - 64 y^{2} - 140 x + 768 y - 2304 = 0